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Finding the Fourth Proportional to 4,649.78, 6,414.72 and 3,938.60

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Solution

The fourth proportional to 4,649.78, 6,414.72 and 3,938.60 is: 5,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.78 : 6,414.72 = 3,938.60 : x
  2. Step 2: Convert to fraction form
    4,649.78/6,414.72 = 3,938.60/x
  3. Step 3: Cross multiply
    4,649.78x = 6,414.72 × 3,938.60
  4. Step 4: Simplify right side
    4,649.78x = 25,265,016.19
  5. Step 5: Solve for x
    x = 25,265,016.19/4,649.78
  6. Step 6: Final answer
    x = 5,433.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.